Atkin-Lehner |
3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
24255t |
Isogeny class |
Conductor |
24255 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
44160 |
Modular degree for the optimal curve |
Δ |
-1563310546875 = -1 · 33 · 510 · 72 · 112 |
Discriminant |
Eigenvalues |
-2 3+ 5- 7- 11+ 3 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-357,60212] |
[a1,a2,a3,a4,a6] |
Generators |
[162:2062:1] |
Generators of the group modulo torsion |
j |
-3803369472/1181640625 |
j-invariant |
L |
2.8670705799966 |
L(r)(E,1)/r! |
Ω |
0.6880155708679 |
Real period |
R |
0.10417898596321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24255l1 121275w1 24255b1 |
Quadratic twists by: -3 5 -7 |